45735840816 has 80 divisors (see below), whose sum is σ = 119000475744. Its totient is φ = 15135823872.

The previous prime is 45735840781. The next prime is 45735840847. The reversal of 45735840816 is 61804853754.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16856676 + ... + 16859388.

Almost surely, 2^45735840816 is an apocalyptic number.

It is an amenable number.

45735840816 is an abundant number, since it is smaller than the sum of its proper divisors (73264634928).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

45735840816 is a wasteful number, since it uses less digits than its factorization.

45735840816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5118 (or 5112 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 51.

The spelling of 45735840816 in words is "forty-five billion, seven hundred thirty-five million, eight hundred forty thousand, eight hundred sixteen".